PYTHON-5219 - Avoid awaiting coroutines when holding locks #2055

Job	Run time
Make SDist	30s
Build wheels for manylinux_x86_64	2m 30s
Build wheels for manylinux_aarch64	11m 29s
Build wheels for manylinux_ppc64le	10m 56s
Build wheels for manylinux_s390x	11m 24s
Build wheels for manylinux_i686	2m 24s
Build wheels for win_amd6	4m 35s
Build wheels for win32	4m 36s
Build wheels for macos	4m 34s
Download Wheels	9s
	53m 7s

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